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Sequential Formation of Coalitions Through Bilateral Agreements in a Cournot Setting

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  • Inés Macho-Stadler

    ()

  • David Pérez-Castrillo

    ()

  • Nicolás Porteiro

    ()

Abstract

We study a sequential protocol of endogenous coalition formation based on a process of bilateral agreements among the players. We apply the game to a Cournot environment with linear demand and constant average costs. We show that the final outcome of any Subgame Perfect Equilibrium of the game is the grand coalition, provided the initial number of firms is high enough and they are sufficiently patient.

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Bibliographic Info

Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 34 (2006)
Issue (Month): 2 (August)
Pages: 207-228

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Handle: RePEc:spr:jogath:v:34:y:2006:i:2:p:207-228

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Related research

Keywords: Coalition formation; Bilateral agreements; Cournot; C72; D62; D40;

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References

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  1. Gul, Faruk, 1989. "Bargaining Foundations of Shapley Value," Econometrica, Econometric Society, vol. 57(1), pages 81-95, January.
  2. Salant, Stephen W & Switzer, Sheldon & Reynolds, Robert J, 1983. "Losses from Horizontal Merger: The Effects of an Exogenous Change in Industry Structure on Cournot-Nash Equilibrium," The Quarterly Journal of Economics, MIT Press, vol. 98(2), pages 185-99, May.
  3. Gautam Gowrisankaran & Thomas J. Holmes, 2000. "Do mergers lead to monopoly in the long run? Results from the dominant firm model," Staff Report 264, Federal Reserve Bank of Minneapolis.
  4. Bloch, Francis, 1996. "Sequential Formation of Coalitions in Games with Externalities and Fixed Payoff Division," Games and Economic Behavior, Elsevier, vol. 14(1), pages 90-123, May.
  5. Montero, M.P., 1999. "Coalition Formation in Games with Externalities," Discussion Paper 1999-121, Tilburg University, Center for Economic Research.
  6. Ray, Debraj & Vohra, Rajiv, 1997. "Equilibrium Binding Agreements," Journal of Economic Theory, Elsevier, vol. 73(1), pages 30-78, March.
  7. Diamantoudi, Effrosyni & Xue, Licun, 2007. "Coalitions, agreements and efficiency," Journal of Economic Theory, Elsevier, vol. 136(1), pages 105-125, September.
  8. repec:fth:tilbur:99121 is not listed on IDEAS
  9. Kamien, Morton I & Zang, Israel, 1990. "The Limits of Monopolization through Acquisition," The Quarterly Journal of Economics, MIT Press, vol. 105(2), pages 465-99, May.
  10. Debraj Ray & Rajiv Vohra, 1998. "A Theory of Endogenous Coalition Structures," Working Papers 98-1, Brown University, Department of Economics, revised Jan 1998.
  11. Hart, Sergiu & Kurz, Mordecai, 1983. "Endogenous Formation of Coalitions," Econometrica, Econometric Society, vol. 51(4), pages 1047-64, July.
  12. Gautam Gowrisankaran & Thomas J. Holmes, 2004. "Mergers and the Evolution of Industry Concentration: Results from the Dominant-Firm Model," RAND Journal of Economics, The RAND Corporation, vol. 35(3), pages 561-582, Autumn.
  13. Houston, Joel F. & James, Christopher M. & Ryngaert, Michael D., 2001. "Where do merger gains come from? Bank mergers from the perspective of insiders and outsiders," Journal of Financial Economics, Elsevier, vol. 60(2-3), pages 285-331, May.
  14. Seidmann, Daniel J & Winter, Eyal, 1998. "A Theory of Gradual Coalition Formation," Review of Economic Studies, Wiley Blackwell, vol. 65(4), pages 793-815, October.
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Cited by:
  1. Fumagalli, Eileen & Nilssen, Tore, 2008. "Waiting to Merge," Memorandum 13/2008, Oslo University, Department of Economics.
  2. Audy, Jean-François & D’Amours, Sophie & Rönnqvist, Mikael, 2012. "An empirical study on coalition formation and cost/savings allocation," International Journal of Production Economics, Elsevier, vol. 136(1), pages 13-27.

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